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Question
What is the quotient and remainder when $ 3657 $ is divided by $ 56 $ ?
Answer
The quotient is 65 and the remainder is 17.
Explanation
|
Division Table
|
| | | 0 | 0 | 6 | 5 |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | 7 |
| | | – | 2 | 8 | 0 |
| | | | | 1 | 7 |
STEP 0: set up a division table
|
| | | | | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
STEP 1: DIVIDE 3 : 56 = 0 with a remainder of 3
|
| | | 0 | | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
STEP 2: MULTIPLY 0 · 56 = 0
|
| | | 0 | | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 5: DIVIDE 36 : 56 = 0 with a remainder of 36
|
| | | 0 | 0 | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 6: MULTIPLY 0 · 56 = 0
|
| | | 0 | 0 | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 36 - 0 = 36
|
| | | 0 | 0 | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
STEP 9: DIVIDE 365 : 56 = 6 with a remainder of 29
|
| | | 0 | 0 | 6 | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
STEP 10: MULTIPLY 6 · 56 = 336
|
| | | 0 | 0 | 6 | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | | 3 | 3 | 6 | |
STEP 11: SUBTRACT 365 - 336 = 29
|
| | | 0 | 0 | 6 | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 6 | |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | 7 |
STEP 13: DIVIDE 297 : 56 = 5 with a remainder of 17
|
| | | 0 | 0 | 6 | 5 |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | 7 |
STEP 14: MULTIPLY 5 · 56 = 280
|
| | | 0 | 0 | 6 | 5 |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | 7 |
| | | | 2 | 8 | 0 |
STEP 15: SUBTRACT 297 - 280 = 17
|
| | | 0 | 0 | 6 | 5 |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | 7 |
| | | – | 2 | 8 | 0 |
| | | | | 1 | 7 |
STEP 15: SUBTRACT 297 - 280 = 17
|
| | | 0 | 0 | 6 | 5 |
| 5 | 6 | 3 | 6 | 5 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 5 | |
| | – | 3 | 3 | 6 | |
| | | | 2 | 9 | 7 |
| | | – | 2 | 8 | 0 |
| | | | | 1 | 7 |
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